GamzeeM
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The lengths of the sides of a triangle are in the extended ratio 3:7:8. The triangle’s perimeter is 72 in. What are the lengths of the sides?

Respuesta :

Answer:


The sides of the triangle are :
24cm,28cm and 36cm


Explanation:

The ration of lengths are: 6:7:9

Let the sides be denoted as:
6x,7x and 9x

The perimeter =88cm

6x+7x+9x=88

22x=88

x = [tex] \frac{88}{22} [/tex]

x=4

The sides can be found as follows:
6x=6×4=24cm

7x=7×4=28cm

9x=9×4=36cm

joshgree747
This is simple. First we write the equation as:
3x+7x+8x = 72.
We now simplify terms to get:
18x=72
Divide and get
x=4.

Sadly, more work is needed. We now need to plug in the variables into the ratio
3*4=12
4*7=28
4*8=32
So the side lengths are 12 in., 28 in., and 32 in. respectively

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